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Updated: Dec 17, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Transition from nonradiative to radiative oscillons in parametrically driven systems.

Alejandro J Alvarez-Socorro^1,2, Ernesto Berríos-Caro³, Marcel G Clerc¹

¹Departamento de Física and Millennium Institute for Research in Optics, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.

Physical Review. E

|June 25, 2020

Summary

Nonradiative oscillons transition to radiative states in a driven sine-Gordon model. This transition, characterized by the emission of waves, occurs above a critical forcing threshold.

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Area of Science:

Nonlinear dynamics
Condensed matter physics
Mathematical physics

Background:

Nonequilibrium systems can host localized particle-type solutions called oscillons.
Oscillons are known in systems with time-dependent or parametric driving.
The transition between nonradiative and radiative oscillons is not fully understood.

Purpose of the Study:

Investigate the transition from nonradiative to radiative oscillons.
Analyze this transition in the parametrically driven sine-Gordon model in 2D.
Determine the conditions and nature of this bifurcation.

Main Methods:

Numerical simulations of the parametrically driven sine-Gordon model.
Analysis of the phase diagram and bifurcation properties.
Amplitude equation approach for small oscillations.

Main Results:

A transition from nonradiative to radiative oscillons was identified.
The bifurcation occurs when forcing strength/frequency crosses a threshold.
The transition is supercritical and results in the emission of evanescent waves.
The amplitude equation approach consistently showed this transition.

Conclusions:

The parametrically driven sine-Gordon model exhibits a transition to radiative oscillons.
This transition is supercritical and characterized by wave emission.
The derived amplitude equation accurately describes the observed phenomenon.